Computing the Principal Branch of log-Gamma
β Scribed by D.E.G Hare
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 226 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0196-6774
No coin nor oath required. For personal study only.
β¦ Synopsis
The log-Gamma function is an important special function of mathematics, and its principal branch is required in many applications. We develop here the mathematics required to evaluate the principal branch to arbitrary precision, including a new bound for the error in Stirling's asymptotic series. We conclude with a discussion of the implementation of the principal branch of the log-Gamma function in the Maple symbolic algebra system, starting with version Maple V, Release 3.
π SIMILAR VOLUMES
This routine occasionally gives wrong results, a correction GAMMA as part of their program for calculating the has been published in Computer Phys. Commun. 3 (1972) 276. Coulomb phase shift. We note here that Luke [13] has \* An earlier version of this program was written by ginary part. This can be
We introduce a finite element method which is piecewise continuous on the microscopic scale of the spatial resolution h but discontinuous on the mesoscopic scale h Ξ΄ , Ξ΄ β (0, 1). The method is designed to capture the morphology of needle twin structures frequently found in ferric and pseudo-elastic